Abstract

This paper studies the problem of maximizing the number of items packed into n bins, known as the dual bin packing problem, in the advice per request model. In general, no online algorithm has a constant competitive ratio for this problem. An online algorithm with 1 bit of advice per request is shown to be 3/2-competitive. Next, for \(0< \varepsilon < 1{/}2\), an online algorithm with advice that is \((1/(1-\varepsilon ))\)-competitive and uses \({O}(1/\varepsilon )\) bits of advice per request is presented.

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